1166836320 has 384 divisors, whose sum is σ = 4470681600. Its totient is φ = 282507264.

The previous prime is 1166836313. The next prime is 1166836331. The reversal of 1166836320 is 236386611.

1166836320 is a `hidden beast` number, since 1 + 16 + 6 + 8 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×1166836320² = 2723013995342284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4436509 + ... + 4436771.

It is an arithmetic number, because the mean of its divisors is an integer number (11642400).

Almost surely, 2^1166836320 is an apocalyptic number.

1166836320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235340800).

1166836320 is an abundant number, since it is smaller than the sum of its proper divisors (3303845280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1166836320 is a wasteful number, since it uses less digits than its factorization.

1166836320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1166836320 is about 34158.9859334261. The cubic root of 1166836320 is about 1052.7776253009. Note that the first 3 decimals are identical.

The spelling of 1166836320 in words is "one billion, one hundred sixty-six million, eight hundred thirty-six thousand, three hundred twenty".